Skip to main content
eScholarship
Open Access Publications from the University of California
Refine Search

UC San Diego

UC San Diego Previously Published Works bannerUC San Diego

Limit cycles in four dimensions

Published Web Location

https://doi.org/10.1007/jhep12(2012)112
Abstract

We present an example of a limit cycle, i.e., a recurrent flow-line of the beta-function vector field, in a unitary four-dimensional gauge theory. We thus prove that beta functions of four-dimensional gauge theories do not produce gradient flows. The limit cycle is established in perturbation theory with a three-loop calculation which we describe in detail. © 2012 SISSA, Trieste, Italy.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.


Top